DLMF:16.8#Ex4 (Q5225)

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DLMF:16.8#Ex4
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    w j ( z ) = z 1 - b j F q p ( 1 + a 1 - b j , , 1 + a p - b j 2 - b j , 1 + b 1 - b j , * , 1 + b q - b j ; z ) , subscript 𝑤 𝑗 𝑧 superscript 𝑧 1 subscript 𝑏 𝑗 Gauss-hypergeometric-pFq 𝑝 𝑞 1 subscript 𝑎 1 subscript 𝑏 𝑗 1 subscript 𝑎 𝑝 subscript 𝑏 𝑗 2 subscript 𝑏 𝑗 1 subscript 𝑏 1 subscript 𝑏 𝑗 1 subscript 𝑏 𝑞 subscript 𝑏 𝑗 𝑧 {\displaystyle{\displaystyle{w_{j}(z)=z^{1-b_{j}}{{}_{p}F_{q}}\left({1+a_{1}-b% _{j},\dots,1+a_{p}-b_{j}\atop 2-b_{j},1+b_{1}-b_{j},\ldots*\dots,1+b_{q}-b_{j}% };z\right),}}}
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    j = 1 , , q 𝑗 1 𝑞 {\displaystyle{\displaystyle j=1,\dots,q}}
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